2 papers
math.PR2021
Kink motion for the one-dimensional stochastic Allen-Cahn equation
Alexander Schindler, Dirk Blömker
We study the kink motion for the one-dimensional stochastic Allen-Cahn equation and its mass conserving counterpart. Using a deterministic slow manifold, in the sharp interface lim…
math.DS2019
Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles
Alexander Schindler, Dirk Blömker
We study the stochastic motion of a droplet in a stochastic Cahn-Hilliard equation in the sharp interface limit for sufficiently small noise. The key ingredient in the proof is a d…